W-Algebra constraints and topological recursion for AN-singularity (with an Appendix by Danilo Lewanski)
| Authors |
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| Publication date | 12-2016 |
| Journal | International Journal of Mathematics |
| Article number | 1650110 |
| Volume | Issue number | 27 | 13 |
| Number of pages | 21 |
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| Abstract | We derive a Bouchard-Eynard type topological recursion for the total descendant potential of AN-singularity. Our argument relies on a certain twisted representation of a Heisenberg Vertex Operator Algebra (VOA) constructed via the periods of AN-singularity. In particular, our approach allows us to prove that the topological recursion for the total descendant potential is equivalent to a certain generating set of W-algebra constraints. |
| Document type | Article |
| Language | English |
| Published at |
https://doi.org/10.1142/S0129167X1650110X
(Final published version)
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